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Finding the Fourth Proportional to 11,323.34, 16,978.80 and 3,927.14

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Solution

The fourth proportional to 11,323.34, 16,978.80 and 3,927.14 is: 5,888.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,323.34 : 16,978.80 = 3,927.14 : x
  2. Step 2: Convert to fraction form
    11,323.34/16,978.80 = 3,927.14/x
  3. Step 3: Cross multiply
    11,323.34x = 16,978.80 × 3,927.14
  4. Step 4: Simplify right side
    11,323.34x = 66,678,124.63
  5. Step 5: Solve for x
    x = 66,678,124.63/11,323.34
  6. Step 6: Final answer
    x = 5,888.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.